b] In the opposite figure : XYZL is a square, XZ = 10 cm. , m(L XZY) = 43° Calculate the perimeter of triangle XYZ ​

From the given information provided, the cube root of 12,167 by prime factorization method is approximately 23.

You can find the cube root of 12,167 using a calculator or by using the prime factorization method.

Using the prime factorization method, we can express 12,167 as the product of its prime factors:

12,167 = 19 × 641

Since the cube root of a product is equal to the product of the cube roots of the factors, we can find the cube root of 12,167 as follows:

∛12,167 = ∛(19 × 641)

∛12,167 = ∛19 × ∛641

∛12,167 = 2.7144 × 8.0186

∛12,167 = 23.1649 (rounded to four decimal places)

Therefore, the cube root of 12,167 is approximately 23.

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The directional derivative of f at a specific point P = (x0,y0,z0) in the direction of the unit vector u = (1/√3)(i+j+k), we simply need to plug in the values of x0, y0, and z0 into the expression above:

D_uf(P) = (1/√3)(8y0^2 - z0 + 16x0y0 - x0)

The directional derivative of a function f(x,y,z) at a point P in the direction of a unit vector u = (a,b,c) is given by:

D_uf(P) = ∇f(P) . u

where ∇f(P) is the gradient vector of f at point P.

In this problem, we have:

f(x,y,z) = 8xy^2 - xz

and the direction vector is:

u = (1/√3)(i+j+k)

First, we need to find the gradient vector of f:

∇f(x,y,z) = < ∂f/∂x, ∂f/∂y, ∂f/∂z >

= < 8y^2 - z, 16xy, -x >

So, at any point (x0,y0,z0), the directional derivative of f in the direction of u is:

D_uf(x0,y0,z0) = ∇f(x0,y0,z0) . u

= < 8y0^2 - z0, 16x0y0, -x0 > . (1/√3)(i+j+k)

= (1/√3)(8y0^2 - z0 + 16x0y0 - x0)

Therefore, to compute the directional derivative of f at a specific point P = (x0,y0,z0) in the direction of the unit vector u = (1/√3)(i+j+k), we simply need to plug in the values of x0, y0, and z0 into the expression above:

D_uf(P) = (1/√3)(8y0^2 - z0 + 16x0y0 - x0)

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Answer:

The constant is 7.7 . This is because the quantities are directly proportional so constant of proportionality is a/b or 46.2/6

Answer:

y=x times factor of 12 abstracted by -93

Step-by-step explanation:

The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1.

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

A linear equation or function is given as ;

y = mx + b

Now,

At x = 0 ⇒ y = b so it will be a y-intercept.

As per the given, y = x

The x's coefficient is 1 thus slope will be 1.

Or, y/x = 1

Hence "The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1".

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Answer:kepler's 3rd law

Step-by-step explanation:

Answer:

A. 96

C. 48

D. 24

Step-by-step explanation:

Multiples of 8

8 = 8, 16, 24, 32, 40, 48, 56, and 64, 72, 80, 88, 96, 104,.......

Multiples of 12

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108,........

Common multiples of 8 and 12 = 24, 48, 72 and 96

The correct answers are:

A. 96

C. 48

D. 24

Answer:

GH=5

HI=5

IJ=5

JK=9

Step-by-step explanation:

GK=24

HJ=10

GH=HI=IJ.

Let GH, HI, IJ be x

therefore,

HI+IJ=10

=>x+x=10

=>2x=10

=>x=10/2

=>x=5

HI=IJ=GH=5

GH+HI+IJ+JK=GK

=>5+5+5+JK=24

=>15+JK=24

=>JK=24-15

JK=9

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

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Answer:

0.01098177026

Explanation:

8.9/810.434 = 0.01098177026

Answer:

x=30°

y=15°

z=150°

Step-by-step explanation:

2x+90+x=180°

2x=180°-90°

x=90/3

x=30

2y=x

y= 30/2

y=15°

2y°+z°=180°

2(15°)+z°=180°

z=180°-30°

z=150°

Hope it helps! :)

Answer:

The answer is -285

Step-by-step explanation:

The median for the students is 4 and the median for the teachers is 3 compares the medians of the data.

The dot plots display the number of siblings reported by two different groups: seventh graders and teachers at a local middle school. The students' dot plot shows varying numbers of dots above each value on the number line, indicating the frequency of students reporting that specific number of siblings. Similarly, the teachers' dot plot represents the number of teachers reporting each value.

Looking at the dot plots, it is evident that the students' distribution is skewed towards higher numbers of siblings, with the highest frequency above 2 and 3. Conversely, the teachers' distribution appears to be more spread out, with a peak around 4 and a decline towards higher numbers.

To determine the median, we identify the middle value in each distribution. In the students' dot plot, the middle value falls around 4, as there are equal numbers of dots on either side. In the teachers' dot plot, the median is around 3 since the distribution is more symmetrical.

Therefore, comparing the medians of the data, we can conclude that the median for the students is 4 and the median for the teachers is 3.

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Answer:

ldldlldldlsñspleleldldkkfkdosos

Step-by-step explanation:

Area750 cm² = 750 × 10^-4 m²

pressure = F/A

= 61 /(750×10^-4)

= 61 × 10⁴/750

= 0.081 × 10⁴

= 810 N/ m²

Answer:

813N/m^2

Step-by-step explanation:

Pressure is defined as the amount of force applied to an area. There are 100cm in a single meter, therefore:

\(750cm^2=\sqrt{750} cm\frac{1}{100} \frac{m}{cm} =\frac{\sqrt{750} }{100} m=0.075m^2\)

Pressure formula is:

\(P=Force/Area=61N/0.075m^2=813N/m^2\)

Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°

After 1 minute they'll have the same no. of rows cleaned.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Let the no. of minutes be denoted by 'm'.

Given, Band Booster Club has already cleaned 2 rows of bleachers and will continue to clean at a rate of 10 rows per minute which is,

10x + 2.

The leadership class has completed 11 rows and will continue working at 1 row per minute which is,

x + 11.

∴  The point where they have cleaned the same number of rows is,

10x + 2 = x + 11.

9x = 9.

x = 1 minute.

So, After 1 minute they'll have the same no. of rows cleaned.

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Answer:

I don't know??????????

Step-by-step explanation:

A) The situation represents an arithmetic sequence because the successive y-values have a common difference of 210.

F(1) = 240 +210

F(2) = 240 +2(210)

F(3) = 240+3(210)

.

.

.

.

F(x)= 240 +210x.

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The correct option for the matrix will be:

a) If an n x n matrix A has fewer than n distinct eigenvalues, then A is not diagonalizable.

It could have repeated eigenvalues as long as the basis of each eigenspace is equal to the multiplicity of that eigenvalue.

b) If A is diagonalizable the A2 is diagonalizable

If A is diagonalizable then there exists an invertible matrix

c) If Rn has a basis of eigenvectors of A, then A is diagonalizable.

d) A is diagonalizable if and only if A has n eigenvalues, counting multiplicity.

e) If A is diagonalizable, then A is invertible.

It’s invertible if it doesn’t have a zero as eigenvalue but this doesn’t affect diagonalizable.

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Reliable sources are what make your research paper solid and strong.

Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.

This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.

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Answer:

f(5.5)≈27.32

Step-by-step explanation:

The exponential function which satisfy the f(4.5) = 23 and f(8) = 42 will be 10.60(\(1.19^{x}\)).

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

Suppose the exponential function is f(x) = a\(b^{x}\).

As per the given,

f(4.5) = 23

Put x = 4.5 as

23 = a\(b^{4.5}\)               (1)

As per the given,

f(8) = 42

Put x = 8 as

42 = ab⁸                  (2)

Divide equation (2) by (1) as,

ab⁸  / a\(b^{4.5}\) = 42/23

\(b^{8-4.5}\) = 42/23

b = 1.19

Again put into (2)

42 = a(1.19)⁸

a = 10.60

Thus, the function will be f(x) = 10.60(\(1.19^{x}\)).

Hence "The exponential function which satisfy the f(4.5) = 23 and f(8) = 42 will be 10.60(\(1.19^{x}\))".

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Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

This equation rewritten in logarithmic form is x = log₉(3)

From the question, we have the following parameters that can be used in our computation:

9^x = 3

Take the logarithm of both sides

So, we have

xlog(9) = log(3)

Divide both sides by log(9)

So, we have

x = log₉(3)

Hence, the equation is x = log₉(3)

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The distance between you and the plateau is 110 m.

The angle between the horizontal plane and the line of sight or direction of an item or point above the horizontal plane is known as the angle of elevation. It can be described more simply as the angle created by looking up from a horizontal line to a point or object above that line.

We know that;

Tan 20 = 40/x

x = distance between you and the plateau.

Then;

x = 40/Tan 20

x = 110 m

Thus the distance is 110 m

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The point does the graph of the line y=2x−6 cross the y-axis will be (0, -6). Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given as,

y = 2x - 6

At the y-axis, the value of the variable 'x' becomes zero. Then we have

y = 2 (0) - 6

y = - 6

The point does the graph of the line y=2x−6 cross the y-axis will be (0, -6). Then the correct option is C.

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Answer:

I'm not sure what you mean by opposite, but by all means the opposite of 0.93 would be -0.93 as it's the negative value of that decimal.

Step-by-step explanation:

The total profit that the company earned last year is 1500000.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, each division earned a profit of $5 x 10 to the 5th power.

The profit will be:

= Number of division × Profit made

= 3 × (5 × 10^5)

= 3 × (5 × 100000)

= 3 × 500000

= 1500000

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From the calculation, all three inequalities are satisfied, which means that the given measurements produce one triangle.

To determine whether the given measurements produce one triangle, two triangles, or no triangle at all, we can use the Law of Sines and the Triangle Inequality Theorem.

Given:

a = 10

b = 13.6

A = 33°

Determine angle B:

Angle B can be found using the equation: B = 180° - A - C, where C is the remaining angle of the triangle.

B = 180° - 33° - C

B = 147° - C

Apply the Law of Sines:

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

a/sin(A) = b/sin(B) = c/sin(C)

We can rearrange the equation to solve for side c:

c = (a * sin(C)) / sin(A)

Substituting the given values:

c = (10 * sin(C)) / sin(33°)

Determine angle C:

We can use the equation: C = arcsin((c * sin(A)) / a)

C = arcsin((c * sin(33°)) / 10)

Apply the Triangle Inequality Theorem:

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

In this case, we need to check if a + b > c, b + c > a, and c + a > b.

If all three inequalities are satisfied, it means that the measurements produce one triangle. If one of the inequalities is not satisfied, it means no triangle can be formed.

Now, let's perform the calculations:

B = 147° - C (from step 1)

c = (10 * sin(C)) / sin(33°) (from step 2)

C = arcsin((c * sin(33°)) / 10) (from step 3)

Using a calculator, we find that C ≈ 34.65° and c ≈ 6.16.

Now, let's check the Triangle Inequality Theorem:

a + b > c:

10 + 13.6 > 6.16

23.6 > 6.16 (True)

b + c > a:

13.6 + 6.16 > 10

19.76 > 10 (True)

c + a > b:

6.16 + 10 > 13.6

16.16 > 13.6 (True)

All three inequalities are satisfied, which means that the given measurements produce one triangle.

In summary, with the given measurements of a = 10, b = 13.6, and A = 33°, we can determine that one triangle can be formed. The measures of the angles are approximately A = 33°, B ≈ 147° - C, and C ≈ 34.65°, and the lengths of the sides are approximately a = 10, b = 13.6, and c ≈ 6.16.

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Answer:

I'm afraid that you cannot simplify this anymore.

Step-by-step explanation: